olymmath

BALTIC-WAY 2008 Problem 4

    The polynomial PP has integer coefficients and P(x)=5P(x)=5 for five different integers xx. Show that there is no integer xx such that −6≤P(x)≤4-6 \leq P(x) \leq 4 or 6≤P(x)≤166 \leq P(x) \leq 16.

    Dataset text NuminaMath olympiads. Quoted with source.

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